Heat oven to 500 degrees and place a sturdy baking sheet on the lowest rack.
Heat 2 T olive oil, sliced garlic, and pepper flakes in a small skillet over med-low heat. Cook, stirring frequently, until the garlic is soft and begins to turn golden brown, about 5-7 minutes.
Add chicken to the skillet and cook until heated through, about 3-5 minutes.
Remove chicken-garlic mixture from heat; stir in oregano and lemon juice.Toss roasted vegetables with the chicken-garlic mixture and an additional 2 T of olive oil in a large salad bowl. Gently fold in the goat cheese crumbles and serve immediately with lemon wedges.